Finding the Third Proportional to 322,410 and 498,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,410 : 498,436.50 = 498,436.50 : x
2. Step 2: Convert to fraction form
   322,410/498,436.50 = 498,436.50/x
3. Step 3: Cross multiply
   322,410x = 498,436.50 × 498,436.50
4. Step 4: Simplify right side
   322,410x = 248,438,944,532.25
5. Step 5: Solve for x
   x = 248,438,944,532.25/322,410
6. Step 6: Final answer
   x = 770,568.36